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A programming approach to the numerical analysis of elastoplastic continua

✍ Scribed by C.T. Dittmer; T.B. Griffin; J.B. Martin

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
719 KB
Volume
21
Category
Article
ISSN
0013-7944

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✦ Synopsis

The extended kinematic minimum principle is used to formulate a quadratic pro-gram~ng solution to the rate problem in elastoplasticity for plane continua. A simple algorithm is presented which involves the minimisation of a continuous functional subject to inequality constraints. The algorithm has been implemented within an incremental finite element formulation which includes equilibrium iterations and predictor-corrector procedures for calculating plastic strain increments. The potential of this algorithm in situations where the plastic zone at failure is small is discussed.

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